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Finding the Third Proportional to 350,315.11 and 470,719.71

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Solution

The third proportional to 350,315.11 and 470,719.71 is: 632,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,315.11 : 470,719.71 = 470,719.71 : x
  2. Step 2: Convert to fraction form
    350,315.11/470,719.71 = 470,719.71/x
  3. Step 3: Cross multiply
    350,315.11x = 470,719.71 × 470,719.71
  4. Step 4: Simplify right side
    350,315.11x = 221,577,049,023.20
  5. Step 5: Solve for x
    x = 221,577,049,023.20/350,315.11
  6. Step 6: Final answer
    x = 632,507.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.